Question

The postulate or theorem that can be used to prove each pair of triangles congruent.Given:The given figure is:

Polynomial factorization
ANSWERED
asked 2021-04-02

The postulate or theorem that can be used to prove each pair of triangles congruent.
Given:
The given figure is:
image

Answers (1)

2021-04-04

Calculation:
If the 2 angles and the non-included side of one triangle is congruent to the 2 angles and non-included side of another triangle, then the two triangles are congruent.
Label the diagram given:
image
Angle A is congruent to angle C and angle BDA is congruent to angle CDA.
According to the reflexive property of congruence, line BD is congruent to BD.
Therefore,
\(\displaystyle\triangle{B}{D}{A}\stackrel{\sim}{=}\triangle{B}{D}{C}\) (AAA Congruence Theorem).

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